Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems

We introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. The strong convergence theorems are obtained under some mil...

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Main Author: Yan Tang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/871026
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author Yan Tang
author_facet Yan Tang
author_sort Yan Tang
collection DOAJ
description We introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. The strong convergence theorems are obtained under some mild conditions. Our theorems extend and unify some of the results that have been proposed for this class of nonlinear mappings.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-25abd2a646dc4d88b339e6f56bded9062025-02-03T05:51:53ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/871026871026Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality ProblemsYan Tang0College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaWe introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. The strong convergence theorems are obtained under some mild conditions. Our theorems extend and unify some of the results that have been proposed for this class of nonlinear mappings.http://dx.doi.org/10.1155/2014/871026
spellingShingle Yan Tang
Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems
Abstract and Applied Analysis
title Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems
title_full Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems
title_fullStr Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems
title_full_unstemmed Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems
title_short Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems
title_sort viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings solutions of variational inequality problems
url http://dx.doi.org/10.1155/2014/871026
work_keys_str_mv AT yantang viscosityapproximationmethodswitherrorsandstrongconvergencetheoremsforacommonpointofpseudocontractiveandmonotonemappingssolutionsofvariationalinequalityproblems